Herglotz functions and applications in electromagnetics
Book chapter, 2021
Herglotz functions inevitably appear in pure mathematics, mathematical physics, and engineering with a wide range of applications. In particular, they are the pertinent functions to model passive systems, and thus appear in modeling of electromagnetic phenomena in circuits, antennas, materials, and scattering. In this chapter, we review the basic theory of Herglotz functions and its applications to determine sum rules and physical bounds for passive systems.
Electromagnetic phenomena
Herglotz functions
Passive systems
Electromagnetic wave scattering
Author
Mitja Nedic
University of Helsinki
Casimir Ehrenborg
KU Leuven
Yevhen Ivanenko
Blekinge Tekniska Högskola, BTH
Andrei Osipov
Chalmers, Electrical Engineering, Signal Processing and Biomedical Engineering
S. Nordebo
Linnaeus University
Annemarie Luger
Stockholm University
Lars Jonsson
Royal Institute of Technology (KTH)
D. Sjoberg
Lund University
M. Gustafsson
Lund University
Advances in Mathematical Methods for Electromagnetics
491-514
9781785613845 (ISBN)
Subject Categories
Other Physics Topics
Control Engineering
Mathematical Analysis
DOI
10.1049/SBEW528E_ch20